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Finding the Fourth Proportional to 2,570.55, 3,855.97 and 1,255.43

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Solution

The fourth proportional to 2,570.55, 3,855.97 and 1,255.43 is: 1,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.55 : 3,855.97 = 1,255.43 : x
  2. Step 2: Convert to fraction form
    2,570.55/3,855.97 = 1,255.43/x
  3. Step 3: Cross multiply
    2,570.55x = 3,855.97 × 1,255.43
  4. Step 4: Simplify right side
    2,570.55x = 4,840,878.00
  5. Step 5: Solve for x
    x = 4,840,878.00/2,570.55
  6. Step 6: Final answer
    x = 1,883.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.